Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3024,2,Mod(2305,3024)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3024, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3024.2305");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3024 = 2^{4} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3024.q (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(24.1467615712\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 5x^{12} - 3x^{11} + 7x^{10} + 30x^{9} - 117x^{7} + 270x^{5} + 189x^{4} - 243x^{3} - 1215x^{2} + 2187 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{7} \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 2881.3 | ||
Root | \(1.13119 - 1.31165i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3024.2881 |
Dual form | 3024.2.q.j.2305.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/3024\mathbb{Z}\right)^\times\).
\(n\) | \(757\) | \(785\) | \(1135\) | \(2593\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.764702 | + | 1.32450i | −0.341985 | + | 0.592336i | −0.984801 | − | 0.173685i | \(-0.944433\pi\) |
0.642816 | + | 0.766021i | \(0.277766\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.91978 | + | 1.82056i | 0.725609 | + | 0.688107i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.417818 | − | 0.723682i | −0.125977 | − | 0.218198i | 0.796137 | − | 0.605116i | \(-0.206873\pi\) |
−0.922114 | + | 0.386917i | \(0.873540\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.81222 | + | 3.13886i | 0.502620 | + | 0.870563i | 0.999995 | + | 0.00302796i | \(0.000963830\pi\) |
−0.497375 | + | 0.867535i | \(0.665703\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.301057 | + | 0.521446i | −0.0730170 | + | 0.126469i | −0.900222 | − | 0.435431i | \(-0.856596\pi\) |
0.827205 | + | 0.561900i | \(0.189929\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.846884 | − | 1.46685i | −0.194289 | − | 0.336518i | 0.752379 | − | 0.658731i | \(-0.228906\pi\) |
−0.946667 | + | 0.322213i | \(0.895573\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.07202 | − | 5.32090i | 0.640561 | − | 1.10948i | −0.344746 | − | 0.938696i | \(-0.612035\pi\) |
0.985308 | − | 0.170789i | \(-0.0546316\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.33046 | + | 2.30443i | 0.266092 | + | 0.460885i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.99671 | + | 8.65455i | −0.927865 | + | 1.60711i | −0.140977 | + | 0.990013i | \(0.545024\pi\) |
−0.786888 | + | 0.617096i | \(0.788309\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.30841 | 0.594208 | 0.297104 | − | 0.954845i | \(-0.403979\pi\) | ||||
0.297104 | + | 0.954845i | \(0.403979\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.87940 | + | 1.15057i | −0.655738 | + | 0.194482i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.39846 | + | 7.61835i | 0.723102 | + | 1.25245i | 0.959751 | + | 0.280854i | \(0.0906177\pi\) |
−0.236649 | + | 0.971595i | \(0.576049\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.51718 | − | 6.09194i | −0.549291 | − | 0.951401i | −0.998323 | − | 0.0578850i | \(-0.981564\pi\) |
0.449032 | − | 0.893516i | \(-0.351769\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.846884 | + | 1.46685i | −0.129149 | + | 0.223692i | −0.923347 | − | 0.383967i | \(-0.874558\pi\) |
0.794198 | + | 0.607659i | \(0.207891\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.46401 | 1.23460 | 0.617301 | − | 0.786727i | \(-0.288226\pi\) | ||||
0.617301 | + | 0.786727i | \(0.288226\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.371118 | + | 6.99016i | 0.0530168 | + | 0.998594i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.99616 | − | 6.92155i | 0.548915 | − | 0.950748i | −0.449434 | − | 0.893313i | \(-0.648374\pi\) |
0.998349 | − | 0.0574350i | \(-0.0182922\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.27803 | 0.172329 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.130428 | 0.0169802 | 0.00849011 | − | 0.999964i | \(-0.497297\pi\) | ||||
0.00849011 | + | 0.999964i | \(0.497297\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.76685 | −0.610333 | −0.305166 | − | 0.952299i | \(-0.598712\pi\) | ||||
−0.305166 | + | 0.952299i | \(0.598712\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.54324 | −0.687554 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.24332 | 0.274066 | 0.137033 | − | 0.990567i | \(-0.456243\pi\) | ||||
0.137033 | + | 0.990567i | \(0.456243\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.39130 | −1.11454 | −0.557271 | − | 0.830331i | \(-0.688152\pi\) | ||||
−0.557271 | + | 0.830331i | \(0.688152\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.25454 | + | 3.90498i | −0.263874 | + | 0.457044i | −0.967268 | − | 0.253757i | \(-0.918334\pi\) |
0.703394 | + | 0.710800i | \(0.251667\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.515388 | − | 2.14997i | 0.0587339 | − | 0.245012i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −15.7424 | −1.77116 | −0.885580 | − | 0.464488i | \(-0.846239\pi\) | ||||
−0.885580 | + | 0.464488i | \(0.846239\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −3.16210 | + | 5.47692i | −0.347085 | + | 0.601170i | −0.985730 | − | 0.168332i | \(-0.946162\pi\) |
0.638645 | + | 0.769502i | \(0.279495\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.460438 | − | 0.797501i | −0.0499415 | − | 0.0865011i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.531180 | + | 0.920030i | 0.0563049 | + | 0.0975230i | 0.892804 | − | 0.450445i | \(-0.148735\pi\) |
−0.836499 | + | 0.547968i | \(0.815401\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.23542 | + | 9.32519i | −0.234335 | + | 0.977545i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.59046 | 0.265775 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.76364 | + | 13.4470i | −0.788279 | + | 1.36534i | 0.138742 | + | 0.990329i | \(0.455694\pi\) |
−0.927021 | + | 0.375010i | \(0.877639\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.75757 | + | 16.9006i | 0.970914 | + | 1.68167i | 0.692807 | + | 0.721123i | \(0.256374\pi\) |
0.278107 | + | 0.960550i | \(0.410293\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.911770 | + | 1.57923i | −0.0898394 | + | 0.155606i | −0.907443 | − | 0.420175i | \(-0.861969\pi\) |
0.817604 | + | 0.575781i | \(0.195302\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.27078 | − | 9.12926i | −0.509546 | − | 0.882559i | −0.999939 | − | 0.0110578i | \(-0.996480\pi\) |
0.490393 | − | 0.871501i | \(-0.336853\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.30442 | − | 10.9196i | 0.603854 | − | 1.04591i | −0.388377 | − | 0.921501i | \(-0.626964\pi\) |
0.992231 | − | 0.124406i | \(-0.0397025\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.76452 | − | 13.4485i | −0.730424 | − | 1.26513i | −0.956702 | − | 0.291069i | \(-0.905989\pi\) |
0.226278 | − | 0.974063i | \(-0.427344\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.69837 | + | 8.13781i | 0.438125 | + | 0.758855i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.52729 | + | 0.452969i | −0.140006 | + | 0.0415236i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.15086 | − | 8.92154i | 0.468260 | − | 0.811050i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.7166 | −1.04797 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.8966 | 0.966919 | 0.483460 | − | 0.875367i | \(-0.339380\pi\) | ||||
0.483460 | + | 0.875367i | \(0.339380\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.73088 | + | 16.8544i | −0.850191 | + | 1.47257i | 0.0308446 | + | 0.999524i | \(0.490180\pi\) |
−0.881036 | + | 0.473050i | \(0.843153\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.04465 | − | 4.35783i | 0.0905827 | − | 0.377872i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.13833 | + | 10.6319i | 0.524433 | + | 0.908344i | 0.999595 | + | 0.0284461i | \(0.00905590\pi\) |
−0.475163 | + | 0.879898i | \(0.657611\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.44692 | + | 11.1664i | 0.546821 | + | 0.947121i | 0.998490 | + | 0.0549357i | \(0.0174954\pi\) |
−0.451669 | + | 0.892185i | \(0.649171\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.51436 | − | 2.62295i | 0.126637 | − | 0.219342i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.64198 | − | 13.2363i | −0.634632 | − | 1.09922i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.03267 | + | 15.6451i | −0.739986 | + | 1.28169i | 0.212516 | + | 0.977158i | \(0.431834\pi\) |
−0.952501 | + | 0.304535i | \(0.901499\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.29891 | + | 7.44593i | 0.349840 | + | 0.605941i | 0.986221 | − | 0.165434i | \(-0.0529025\pi\) |
−0.636381 | + | 0.771375i | \(0.719569\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.52995 | + | 4.38200i | −0.203210 | + | 0.351971i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.19366 | 0.254882 | 0.127441 | − | 0.991846i | \(-0.459324\pi\) | ||||
0.127441 | + | 0.991846i | \(0.459324\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 15.5846 | − | 4.62216i | 1.22824 | − | 0.364277i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.04809 | − | 3.54740i | −0.160419 | − | 0.277854i | 0.774600 | − | 0.632451i | \(-0.217951\pi\) |
−0.935019 | + | 0.354598i | \(0.884618\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 8.24859 | + | 14.2870i | 0.638295 | + | 1.10556i | 0.985807 | + | 0.167883i | \(0.0536932\pi\) |
−0.347512 | + | 0.937676i | \(0.612973\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.0682984 | + | 0.118296i | −0.00525372 | + | 0.00909971i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.8213 | 0.974782 | 0.487391 | − | 0.873184i | \(-0.337949\pi\) | ||||
0.487391 | + | 0.873184i | \(0.337949\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.64115 | + | 6.84618i | −0.124060 | + | 0.517522i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −11.8750 | + | 20.5680i | −0.887576 | + | 1.53733i | −0.0448441 | + | 0.998994i | \(0.514279\pi\) |
−0.842732 | + | 0.538333i | \(0.819054\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.0244 | −1.19108 | −0.595542 | − | 0.803324i | \(-0.703063\pi\) | ||||
−0.595542 | + | 0.803324i | \(0.703063\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −13.4540 | −0.989161 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.503148 | 0.0367938 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.8095 | −0.782148 | −0.391074 | − | 0.920359i | \(-0.627896\pi\) | ||||
−0.391074 | + | 0.920359i | \(0.627896\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.750260 | 0.0540049 | 0.0270025 | − | 0.999635i | \(-0.491404\pi\) | ||||
0.0270025 | + | 0.999635i | \(0.491404\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.3186 | −0.735169 | −0.367584 | − | 0.929990i | \(-0.619815\pi\) | ||||
−0.367584 | + | 0.929990i | \(0.619815\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.85430 | − | 4.94379i | 0.202336 | − | 0.350456i | −0.746945 | − | 0.664886i | \(-0.768480\pi\) |
0.949281 | + | 0.314430i | \(0.101813\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −25.3487 | + | 7.51803i | −1.77913 | + | 0.527662i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.7584 | 0.751398 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.707687 | + | 1.22575i | −0.0489517 | + | 0.0847869i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.73050 | − | 4.72937i | −0.187976 | − | 0.325583i | 0.756600 | − | 0.653878i | \(-0.226859\pi\) |
−0.944575 | + | 0.328295i | \(0.893526\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.29523 | − | 2.24340i | −0.0883338 | − | 0.152999i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.35143 | + | 6.02316i | 0.431163 | + | 0.408879i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.18233 | −0.146799 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.00530 | − | 15.5976i | 0.603040 | − | 1.04450i | −0.389318 | − | 0.921103i | \(-0.627289\pi\) |
0.992358 | − | 0.123392i | \(-0.0393772\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.08699 | + | 15.7391i | 0.603125 | + | 1.04464i | 0.992345 | + | 0.123498i | \(0.0394113\pi\) |
−0.389220 | + | 0.921145i | \(0.627255\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.71391 | − | 13.3609i | 0.509750 | − | 0.882912i | −0.490186 | − | 0.871618i | \(-0.663071\pi\) |
0.999936 | − | 0.0112949i | \(-0.00359534\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.20892 | + | 5.55801i | 0.210223 | + | 0.364117i | 0.951784 | − | 0.306768i | \(-0.0992476\pi\) |
−0.741561 | + | 0.670885i | \(0.765914\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.47244 | + | 11.2106i | −0.422216 | + | 0.731299i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.33317 | − | 4.04118i | −0.150920 | − | 0.261402i | 0.780646 | − | 0.624974i | \(-0.214890\pi\) |
−0.931566 | + | 0.363572i | \(0.881557\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.42858 | + | 16.3308i | 0.607348 | + | 1.05196i | 0.991676 | + | 0.128761i | \(0.0411000\pi\) |
−0.384327 | + | 0.923197i | \(0.625567\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −9.54228 | − | 4.85384i | −0.609634 | − | 0.310100i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.06948 | − | 5.31650i | 0.195307 | − | 0.338281i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.7016 | 0.991074 | 0.495537 | − | 0.868587i | \(-0.334971\pi\) | ||||
0.495537 | + | 0.868587i | \(0.334971\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.13419 | −0.322784 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.60892 | − | 7.98289i | 0.287497 | − | 0.497959i | −0.685715 | − | 0.727870i | \(-0.740510\pi\) |
0.973212 | + | 0.229911i | \(0.0738436\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.42560 | + | 22.6332i | −0.337130 | + | 1.40636i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.241311 | − | 0.417962i | −0.0148799 | − | 0.0257727i | 0.858490 | − | 0.512831i | \(-0.171403\pi\) |
−0.873369 | + | 0.487058i | \(0.838070\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.11174 | + | 10.5859i | 0.375442 | + | 0.650284i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.94288 | − | 6.82927i | 0.240402 | − | 0.416388i | −0.720427 | − | 0.693531i | \(-0.756054\pi\) |
0.960829 | + | 0.277143i | \(0.0893875\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.7947 | − | 22.1610i | −0.777220 | − | 1.34618i | −0.933538 | − | 0.358478i | \(-0.883296\pi\) |
0.156318 | − | 0.987707i | \(-0.450037\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.11178 | − | 1.92566i | 0.0670429 | − | 0.116122i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.18466 | − | 7.24804i | −0.251432 | − | 0.435492i | 0.712489 | − | 0.701684i | \(-0.247568\pi\) |
−0.963920 | + | 0.266191i | \(0.914235\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.551848 | − | 0.955828i | 0.0329205 | − | 0.0570199i | −0.849096 | − | 0.528239i | \(-0.822853\pi\) |
0.882016 | + | 0.471219i | \(0.156186\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.90738 | −0.172826 | −0.0864128 | − | 0.996259i | \(-0.527540\pi\) | ||||
−0.0864128 | + | 0.996259i | \(0.527540\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.33852 | − | 18.0984i | 0.256095 | − | 1.06832i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.31873 | + | 14.4085i | 0.489337 | + | 0.847557i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 12.4381 | + | 21.5434i | 0.726642 | + | 1.25858i | 0.958295 | + | 0.285782i | \(0.0922532\pi\) |
−0.231653 | + | 0.972798i | \(0.574413\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0997383 | + | 0.172752i | −0.00580699 | + | 0.0100580i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 22.2688 | 1.28784 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.29631 | + | 1.27422i | −0.247635 | + | 0.0734448i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.64522 | − | 6.31371i | 0.208725 | − | 0.361522i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.7968 | 1.35816 | 0.679078 | − | 0.734066i | \(-0.262380\pi\) | ||||
0.679078 | + | 0.734066i | \(0.262380\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.7135 | 1.06115 | 0.530574 | − | 0.847639i | \(-0.321976\pi\) | ||||
0.530574 | + | 0.847639i | \(0.321976\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.3159 | −1.09180 | −0.545901 | − | 0.837850i | \(-0.683812\pi\) | ||||
−0.545901 | + | 0.837850i | \(0.683812\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.79508 | 0.100822 | 0.0504110 | − | 0.998729i | \(-0.483947\pi\) | ||||
0.0504110 | + | 0.998729i | \(0.483947\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.35085 | 0.467558 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.01984 | 0.0567455 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.82218 | + | 8.35226i | −0.267487 | + | 0.463300i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 16.2490 | + | 15.4092i | 0.895838 | + | 0.849539i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.1367 | 0.777021 | 0.388511 | − | 0.921444i | \(-0.372990\pi\) | ||||
0.388511 | + | 0.921444i | \(0.372990\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.71547 | + | 2.97129i | −0.0937264 | + | 0.162339i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.94072 | − | 5.09348i | −0.160191 | − | 0.277459i | 0.774746 | − | 0.632273i | \(-0.217878\pi\) |
−0.934937 | + | 0.354813i | \(0.884544\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.38231 | − | 2.39424i | −0.0748565 | − | 0.129655i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.0135 | + | 14.0952i | −0.648670 | + | 0.761070i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.35186 | −0.340986 | −0.170493 | − | 0.985359i | \(-0.554536\pi\) | ||||
−0.170493 | + | 0.985359i | \(0.554536\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.4321 | − | 18.0689i | 0.558416 | − | 0.967205i | −0.439213 | − | 0.898383i | \(-0.644743\pi\) |
0.997629 | − | 0.0688222i | \(-0.0219241\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.07115 | − | 1.85528i | −0.0570114 | − | 0.0987466i | 0.836111 | − | 0.548560i | \(-0.184824\pi\) |
−0.893123 | + | 0.449813i | \(0.851490\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.18155 | − | 12.4388i | 0.381157 | − | 0.660183i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.6198 | − | 18.3940i | −0.560492 | − | 0.970800i | −0.997454 | − | 0.0713198i | \(-0.977279\pi\) |
0.436962 | − | 0.899480i | \(-0.356054\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.06557 | − | 13.9700i | 0.424504 | − | 0.735262i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.44811 | − | 5.97230i | −0.180482 | − | 0.312605i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.2053 | − | 28.0685i | −0.845912 | − | 1.46516i | −0.884827 | − | 0.465919i | \(-0.845724\pi\) |
0.0389156 | − | 0.999243i | \(-0.487610\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 20.2729 | − | 6.01261i | 1.05251 | − | 0.312159i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.8101 | + | 29.1159i | −0.870393 | + | 1.50756i | −0.00880173 | + | 0.999961i | \(0.502802\pi\) |
−0.861591 | + | 0.507603i | \(0.830532\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −36.2206 | −1.86545 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.2829 | −1.45279 | −0.726396 | − | 0.687276i | \(-0.758806\pi\) | ||||
−0.726396 | + | 0.687276i | \(0.758806\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.09473 | − | 8.82434i | 0.260329 | − | 0.450903i | −0.706001 | − | 0.708211i | \(-0.749502\pi\) |
0.966329 | + | 0.257309i | \(0.0828357\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.45353 | + | 2.32672i | 0.125043 | + | 0.118581i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.22525 | + | 9.05040i | 0.264931 | + | 0.458873i | 0.967545 | − | 0.252697i | \(-0.0813176\pi\) |
−0.702615 | + | 0.711570i | \(0.747984\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.84971 | + | 3.20379i | 0.0935437 | + | 0.162022i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 12.0383 | − | 20.8509i | 0.605710 | − | 1.04912i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.25033 | − | 12.5579i | −0.363884 | − | 0.630265i | 0.624713 | − | 0.780855i | \(-0.285216\pi\) |
−0.988596 | + | 0.150590i | \(0.951883\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.7071 | + | 22.0094i | −0.634563 | + | 1.09909i | 0.352045 | + | 0.935983i | \(0.385486\pi\) |
−0.986608 | + | 0.163112i | \(0.947847\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.99558 | + | 10.3846i | 0.298661 | + | 0.517296i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.67551 | − | 6.36617i | 0.182188 | − | 0.315559i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.3907 | 0.612680 | 0.306340 | − | 0.951922i | \(-0.400896\pi\) | ||||
0.306340 | + | 0.951922i | \(0.400896\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.250392 | + | 0.237451i | 0.0123210 | + | 0.0116842i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.83613 | − | 8.37642i | −0.237396 | − | 0.411182i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.3596 | − | 26.6036i | −0.750365 | − | 1.29967i | −0.947646 | − | 0.319323i | \(-0.896545\pi\) |
0.197281 | − | 0.980347i | \(-0.436789\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.88912 | + | 5.00410i | −0.140807 | + | 0.243885i | −0.927801 | − | 0.373076i | \(-0.878303\pi\) |
0.786994 | + | 0.616961i | \(0.211636\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.60218 | −0.0777170 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.15131 | − | 8.67834i | −0.442863 | − | 0.419975i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.210278 | + | 0.364212i | −0.0101287 | + | 0.0175435i | −0.871045 | − | 0.491203i | \(-0.836557\pi\) |
0.860917 | + | 0.508746i | \(0.169891\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.8208 | 1.48115 | 0.740576 | − | 0.671972i | \(-0.234553\pi\) | ||||
0.740576 | + | 0.671972i | \(0.234553\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −10.4066 | −0.497815 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.01181 | −0.143746 | −0.0718729 | − | 0.997414i | \(-0.522898\pi\) | ||||
−0.0718729 | + | 0.997414i | \(0.522898\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.4428 | −0.876245 | −0.438122 | − | 0.898915i | \(-0.644356\pi\) | ||||
−0.438122 | + | 0.898915i | \(0.644356\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.62478 | −0.0770218 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.80998 | 0.321383 | 0.160691 | − | 0.987005i | \(-0.448628\pi\) | ||||
0.160691 | + | 0.987005i | \(0.448628\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.93908 | + | 5.09064i | −0.138396 | + | 0.239709i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.6418 | − | 10.0918i | −0.498896 | − | 0.473111i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.3657 | 0.578441 | 0.289220 | − | 0.957263i | \(-0.406604\pi\) | ||||
0.289220 | + | 0.957263i | \(0.406604\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.3651 | − | 28.3453i | 0.762201 | − | 1.32017i | −0.179513 | − | 0.983756i | \(-0.557452\pi\) |
0.941714 | − | 0.336415i | \(-0.109214\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.61023 | − | 16.6454i | −0.446625 | − | 0.773577i | 0.551539 | − | 0.834149i | \(-0.314041\pi\) |
−0.998164 | + | 0.0605719i | \(0.980708\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.50855 | + | 2.61289i | 0.0698075 | + | 0.120910i | 0.898816 | − | 0.438325i | \(-0.144428\pi\) |
−0.829009 | + | 0.559235i | \(0.811095\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.30669 | + | 4.08411i | 0.198864 | + | 0.188587i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.41537 | 0.0650790 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.25349 | − | 3.90316i | 0.103397 | − | 0.179089i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.9486 | + | 22.4276i | 0.591635 | + | 1.02474i | 0.994012 | + | 0.109269i | \(0.0348509\pi\) |
−0.402377 | + | 0.915474i | \(0.631816\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.9420 | + | 27.6123i | −0.726891 | + | 1.25901i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −11.8738 | − | 20.5659i | −0.539159 | − | 0.933851i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 20.8841 | − | 36.1724i | 0.946350 | − | 1.63913i | 0.193326 | − | 0.981135i | \(-0.438073\pi\) |
0.753025 | − | 0.657992i | \(-0.228594\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.9879 | − | 24.2278i | −0.631265 | − | 1.09338i | −0.987293 | − | 0.158908i | \(-0.949203\pi\) |
0.356028 | − | 0.934475i | \(-0.384131\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.00858 | − | 5.21102i | −0.135500 | − | 0.234693i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −18.0292 | − | 17.0974i | −0.808722 | − | 0.766924i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.4748 | + | 21.6070i | −0.558450 | + | 0.967264i | 0.439176 | + | 0.898401i | \(0.355270\pi\) |
−0.997626 | + | 0.0688626i | \(0.978063\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 34.1966 | 1.52475 | 0.762376 | − | 0.647135i | \(-0.224033\pi\) | ||||
0.762376 | + | 0.647135i | \(0.224033\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −29.8465 | −1.32815 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.84342 | − | 11.8532i | 0.303329 | − | 0.525382i | −0.673559 | − | 0.739134i | \(-0.735235\pi\) |
0.976888 | + | 0.213752i | \(0.0685685\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.4375 | + | 3.39218i | −0.505965 | + | 0.150061i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.39447 | − | 2.41528i | −0.0614475 | − | 0.106430i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.53641 | − | 6.12525i | −0.155531 | − | 0.269388i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.3748 | − | 23.1658i | 0.585960 | − | 1.01491i | −0.408795 | − | 0.912626i | \(-0.634051\pi\) |
0.994755 | − | 0.102286i | \(-0.0326157\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.6131 | + | 18.3824i | 0.464079 | + | 0.803808i | 0.999159 | − | 0.0409928i | \(-0.0130521\pi\) |
−0.535081 | + | 0.844801i | \(0.679719\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.996020 | + | 1.72516i | −0.0433873 | + | 0.0751490i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.37466 | − | 12.7733i | −0.320637 | − | 0.555360i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.7478 | − | 22.0799i | 0.552170 | − | 0.956386i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.1223 | 0.697029 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.90359 | − | 3.18918i | 0.211213 | − | 0.137368i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.1269 | + | 17.5402i | 0.435388 | + | 0.754114i | 0.997327 | − | 0.0730646i | \(-0.0232779\pi\) |
−0.561939 | + | 0.827178i | \(0.689945\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 9.64201 | + | 16.7005i | 0.413019 | + | 0.715369i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.9668 | − | 38.0476i | 0.939233 | − | 1.62680i | 0.172327 | − | 0.985040i | \(-0.444871\pi\) |
0.766906 | − | 0.641760i | \(-0.221795\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.9265 | 0.721094 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −30.2220 | − | 28.6600i | −1.28517 | − | 1.21875i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.45483 | − | 7.71599i | 0.188757 | − | 0.326937i | −0.756079 | − | 0.654480i | \(-0.772887\pi\) |
0.944836 | + | 0.327544i | \(0.106221\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.13897 | −0.259651 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −28.4193 | −1.19773 | −0.598865 | − | 0.800850i | \(-0.704381\pi\) | ||||
−0.598865 | + | 0.800850i | \(0.704381\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.7502 | 0.999177 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.57895 | 0.359648 | 0.179824 | − | 0.983699i | \(-0.442447\pi\) | ||||
0.179824 | + | 0.983699i | \(0.442447\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.3772 | −0.810912 | −0.405456 | − | 0.914115i | \(-0.632887\pi\) | ||||
−0.405456 | + | 0.914115i | \(0.632887\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.3488 | 0.681793 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.584441 | − | 1.01228i | 0.0243306 | − | 0.0421418i | −0.853604 | − | 0.520923i | \(-0.825588\pi\) |
0.877934 | + | 0.478781i | \(0.158921\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16.0416 | + | 4.75769i | −0.665517 | + | 0.197382i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.67867 | −0.276602 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −15.5863 | + | 26.9963i | −0.643316 | + | 1.11426i | 0.341372 | + | 0.939928i | \(0.389108\pi\) |
−0.984688 | + | 0.174327i | \(0.944225\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.80184 | − | 4.85293i | −0.115448 | − | 0.199962i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.1887 | + | 26.3075i | 0.623724 | + | 1.08032i | 0.988786 | + | 0.149338i | \(0.0477143\pi\) |
−0.365062 | + | 0.930983i | \(0.618952\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.567960 | − | 2.36928i | 0.0232841 | − | 0.0971311i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.30758 | −0.298579 | −0.149290 | − | 0.988793i | \(-0.547699\pi\) | ||||
−0.149290 | + | 0.988793i | \(0.547699\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.61461 | − | 7.99274i | 0.188234 | − | 0.326031i | −0.756428 | − | 0.654077i | \(-0.773057\pi\) |
0.944661 | + | 0.328047i | \(0.106390\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.87774 | + | 13.6446i | 0.320276 | + | 0.554734i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.53370 | + | 14.7808i | −0.346372 | + | 0.599934i | −0.985602 | − | 0.169082i | \(-0.945920\pi\) |
0.639230 | + | 0.769016i | \(0.279253\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.3387 | + | 26.5673i | 0.620536 | + | 1.07480i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.393059 | + | 0.680797i | −0.0158755 | + | 0.0274972i | −0.873854 | − | 0.486188i | \(-0.838387\pi\) |
0.857979 | + | 0.513686i | \(0.171720\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.7960 | − | 41.2159i | −0.957991 | − | 1.65929i | −0.727370 | − | 0.686246i | \(-0.759257\pi\) |
−0.230621 | − | 0.973044i | \(-0.574076\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.48717 | + | 16.4323i | 0.381321 | + | 0.660468i | 0.991251 | − | 0.131987i | \(-0.0421358\pi\) |
−0.609930 | + | 0.792455i | \(0.708802\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.655222 | + | 2.73330i | −0.0262509 | + | 0.109507i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.30744 | − | 3.99660i | 0.0922976 | − | 0.159864i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.29674 | −0.211195 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.300343 | −0.0119565 | −0.00597823 | − | 0.999982i | \(-0.501903\pi\) | ||||
−0.00597823 | + | 0.999982i | \(0.501903\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −8.33267 | + | 14.4326i | −0.330672 | + | 0.572741i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.2686 | + | 13.8326i | −0.842692 | + | 0.548068i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.0548 | + | 24.3436i | 0.555131 | + | 0.961514i | 0.997893 | + | 0.0648756i | \(0.0206651\pi\) |
−0.442763 | + | 0.896639i | \(0.646002\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.55289 | + | 2.68968i | 0.0612399 | + | 0.106071i | 0.895020 | − | 0.446026i | \(-0.147161\pi\) |
−0.833780 | + | 0.552097i | \(0.813828\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.3556 | − | 40.4532i | 0.918205 | − | 1.59038i | 0.116066 | − | 0.993242i | \(-0.462972\pi\) |
0.802140 | − | 0.597137i | \(-0.203695\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0544950 | − | 0.0943881i | −0.00213912 | − | 0.00370506i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.998764 | + | 1.72991i | −0.0390847 | + | 0.0676966i | −0.884906 | − | 0.465770i | \(-0.845778\pi\) |
0.845821 | + | 0.533466i | \(0.179111\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.8825 | − | 25.7772i | −0.581506 | − | 1.00720i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 8.37284 | − | 14.5022i | 0.326160 | − | 0.564925i | −0.655587 | − | 0.755120i | \(-0.727579\pi\) |
0.981746 | + | 0.190195i | \(0.0609120\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.5774 | 0.489205 | 0.244602 | − | 0.969624i | \(-0.421343\pi\) | ||||
0.244602 | + | 0.969624i | \(0.421343\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.97311 | + | 4.71608i | 0.192849 | + | 0.182882i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 30.7000 | + | 53.1740i | 1.18871 | + | 2.05890i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.99168 | + | 3.44969i | 0.0768878 | + | 0.133174i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.8175 | − | 41.2531i | 0.918096 | − | 1.59019i | 0.115792 | − | 0.993273i | \(-0.463059\pi\) |
0.802304 | − | 0.596916i | \(-0.203607\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 9.09327 | 0.349483 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −39.3856 | + | 11.6812i | −1.51148 | + | 0.448282i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.41674 | − | 4.18592i | 0.0924741 | − | 0.160170i | −0.816078 | − | 0.577942i | \(-0.803856\pi\) |
0.908552 | + | 0.417773i | \(0.137189\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.7760 | −0.717393 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 28.9677 | 1.10358 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.7846 | 0.410264 | 0.205132 | − | 0.978734i | \(-0.434238\pi\) | ||||
0.205132 | + | 0.978734i | \(0.434238\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −19.7199 | −0.748018 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.23548 | 0.160430 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 31.8393 | 1.20255 | 0.601276 | − | 0.799041i | \(-0.294659\pi\) | ||||
0.601276 | + | 0.799041i | \(0.294659\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.44997 | − | 12.9037i | 0.280981 | − | 0.486673i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.0362 | + | 50.2097i | −0.452667 | + | 1.88833i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.2064 | −1.02176 | −0.510879 | − | 0.859653i | \(-0.670680\pi\) | ||||
−0.510879 | + | 0.859653i | \(0.670680\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 10.1635 | − | 17.6037i | 0.380627 | − | 0.659265i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.31607 | + | 4.01154i | 0.0866160 | + | 0.150023i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.4549 | − | 25.0366i | −0.539076 | − | 0.933707i | −0.998954 | − | 0.0457252i | \(-0.985440\pi\) |
0.459878 | − | 0.887982i | \(-0.347893\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.62549 | + | 1.37185i | −0.172262 | + | 0.0510902i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −26.5917 | −0.987591 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.29978 | + | 7.44744i | −0.159470 | + | 0.276210i | −0.934678 | − | 0.355496i | \(-0.884312\pi\) |
0.775208 | + | 0.631706i | \(0.217645\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.509920 | − | 0.883208i | −0.0188601 | − | 0.0326666i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.7753 | − | 39.4480i | 0.841225 | − | 1.45705i | −0.0476340 | − | 0.998865i | \(-0.515168\pi\) |
0.888859 | − | 0.458180i | \(-0.151499\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.937301 | − | 1.62345i | −0.0345259 | − | 0.0598007i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.34491 | + | 10.9897i | −0.233401 | + | 0.404263i | −0.958807 | − | 0.284059i | \(-0.908319\pi\) |
0.725405 | + | 0.688322i | \(0.241652\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.04492 | − | 8.73806i | −0.185080 | − | 0.320568i | 0.758523 | − | 0.651646i | \(-0.225921\pi\) |
−0.943604 | + | 0.331078i | \(0.892588\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.8146 | − | 23.9276i | −0.506128 | − | 0.876640i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.50163 | − | 27.1220i | 0.237564 | − | 0.991015i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.50357 | − | 4.33631i | 0.0913565 | − | 0.158234i | −0.816726 | − | 0.577026i | \(-0.804213\pi\) |
0.908082 | + | 0.418792i | \(0.137546\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −13.1495 | −0.478561 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.83620 | 0.248466 | 0.124233 | − | 0.992253i | \(-0.460353\pi\) | ||||
0.124233 | + | 0.992253i | \(0.460353\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.4377 | − | 23.2747i | 0.487115 | − | 0.843708i | −0.512775 | − | 0.858523i | \(-0.671382\pi\) |
0.999890 | + | 0.0148147i | \(0.00471582\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 31.9829 | − | 9.48562i | 1.15786 | − | 0.343403i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.236364 | + | 0.409394i | 0.00853460 | + | 0.0147824i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.00631 | − | 3.47503i | −0.0723493 | − | 0.125313i | 0.827581 | − | 0.561346i | \(-0.189716\pi\) |
−0.899931 | + | 0.436033i | \(0.856383\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.6861 | − | 23.7051i | 0.492256 | − | 0.852612i | −0.507704 | − | 0.861531i | \(-0.669506\pi\) |
0.999960 | + | 0.00891927i | \(0.00283913\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.40171 | + | 7.62399i | 0.158114 | + | 0.273862i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.95729 | + | 10.3183i | −0.213442 | + | 0.369693i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.92385 | + | 6.79631i | 0.140407 | + | 0.243191i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.44220 | + | 4.23001i | −0.0871658 | + | 0.150976i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.8727 | 0.458863 | 0.229432 | − | 0.973325i | \(-0.426313\pi\) | ||||
0.229432 | + | 0.973325i | \(0.426313\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.57771 | − | 39.9540i | 0.340544 | − | 1.42060i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.63860 | − | 14.9625i | −0.306766 | − | 0.531334i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 8.71139 | + | 15.0886i | 0.308573 | + | 0.534465i | 0.978050 | − | 0.208368i | \(-0.0668152\pi\) |
−0.669477 | + | 0.742833i | \(0.733482\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.54815 | + | 4.41352i | −0.0901469 | + | 0.156139i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.76796 | 0.132968 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.79554 | + | 24.1765i | −0.204266 | + | 0.852109i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 3.04097 | − | 5.26712i | 0.106915 | − | 0.185182i | −0.807604 | − | 0.589725i | \(-0.799236\pi\) |
0.914519 | + | 0.404543i | \(0.132569\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.6219 | −0.513443 | −0.256722 | − | 0.966485i | \(-0.582642\pi\) | ||||
−0.256722 | + | 0.966485i | \(0.582642\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.26472 | 0.219443 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.86885 | 0.100368 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 9.74323 | 0.340041 | 0.170021 | − | 0.985441i | \(-0.445617\pi\) | ||||
0.170021 | + | 0.985441i | \(0.445617\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.7797 | −0.375755 | −0.187878 | − | 0.982192i | \(-0.560161\pi\) | ||||
−0.187878 | + | 0.982192i | \(0.560161\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.0521 | 0.453867 | 0.226933 | − | 0.973910i | \(-0.427130\pi\) | ||||
0.226933 | + | 0.973910i | \(0.427130\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 24.5548 | − | 42.5301i | 0.852822 | − | 1.47713i | −0.0258286 | − | 0.999666i | \(-0.508222\pi\) |
0.878651 | − | 0.477465i | \(-0.158444\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −3.75671 | − | 1.91092i | −0.130162 | − | 0.0662093i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −25.2308 | −0.873149 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.0830 | + | 20.9284i | −0.417151 | + | 0.722527i | −0.995652 | − | 0.0931549i | \(-0.970305\pi\) |
0.578500 | + | 0.815682i | \(0.303638\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −35.4341 | − | 61.3737i | −1.22187 | − | 2.11633i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.104456 | − | 0.180923i | −0.00359339 | − | 0.00622393i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.1307 | − | 7.74997i | 0.897862 | − | 0.266292i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 54.0487 | 1.85276 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.72681 | − | 4.72297i | 0.0933641 | − | 0.161711i | −0.815561 | − | 0.578672i | \(-0.803571\pi\) |
0.908925 | + | 0.416960i | \(0.136905\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 16.4194 | + | 28.4393i | 0.560876 | + | 0.971466i | 0.997420 | + | 0.0717835i | \(0.0228691\pi\) |
−0.436544 | + | 0.899683i | \(0.643798\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.3299 | − | 45.6048i | 0.898365 | − | 1.55601i | 0.0687820 | − | 0.997632i | \(-0.478089\pi\) |
0.829583 | − | 0.558383i | \(-0.188578\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 24.4095 | + | 42.2784i | 0.830908 | + | 1.43917i | 0.897319 | + | 0.441382i | \(0.145512\pi\) |
−0.0664116 | + | 0.997792i | \(0.521155\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.80445 | + | 16.9818i | −0.333361 | + | 0.577398i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.57746 | + | 11.3925i | 0.223125 | + | 0.386464i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.06540 | + | 7.04148i | 0.137751 | + | 0.238591i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.4934 | − | 21.3309i | −0.760416 | − | 0.721115i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 12.5373 | − | 21.7152i | 0.423353 | − | 0.733269i | −0.572912 | − | 0.819617i | \(-0.694186\pi\) |
0.996265 | + | 0.0863480i | \(0.0275197\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 16.2437 | 0.547263 | 0.273632 | − | 0.961835i | \(-0.411775\pi\) | ||||
0.273632 | + | 0.961835i | \(0.411775\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.7137 | −0.999945 | −0.499973 | − | 0.866041i | \(-0.666657\pi\) | ||||
−0.499973 | + | 0.866041i | \(0.666657\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.87353 | − | 13.6374i | 0.264367 | − | 0.457897i | −0.703030 | − | 0.711160i | \(-0.748170\pi\) |
0.967398 | + | 0.253262i | \(0.0815036\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 20.9191 | + | 19.8380i | 0.701605 | + | 0.665344i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −7.16803 | − | 12.4154i | −0.239869 | − | 0.415465i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −18.1616 | − | 31.4568i | −0.607076 | − | 1.05149i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −16.5312 | + | 28.6328i | −0.551345 | + | 0.954957i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.40614 | + | 4.16756i | 0.0801602 | + | 0.138842i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 12.2539 | − | 21.2244i | 0.407333 | − | 0.705522i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.29001 | − | 2.23437i | −0.0428342 | − | 0.0741910i | 0.843813 | − | 0.536637i | \(-0.180305\pi\) |
−0.886648 | + | 0.462446i | \(0.846972\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.2170 | − | 40.2130i | 0.769214 | − | 1.33232i | −0.168776 | − | 0.985654i | \(-0.553981\pi\) |
0.937990 | − | 0.346663i | \(-0.112685\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.28473 | 0.174899 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −49.3656 | + | 14.6411i | −1.63020 | + | 0.483490i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.84387 | + | 4.92572i | 0.0938106 | + | 0.162485i | 0.909112 | − | 0.416553i | \(-0.136762\pi\) |
−0.815301 | + | 0.579037i | \(0.803429\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −17.0191 | − | 29.4780i | −0.560191 | − | 0.970279i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.7040 | + | 20.2718i | −0.384824 | + | 0.666534i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −47.9605 | −1.57353 | −0.786767 | − | 0.617251i | \(-0.788246\pi\) | ||||
−0.786767 | + | 0.617251i | \(0.788246\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.93919 | − | 6.46422i | 0.325744 | − | 0.211856i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.384758 | + | 0.666421i | −0.0125829 | + | 0.0217943i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.3542 | −0.828285 | −0.414142 | − | 0.910212i | \(-0.635918\pi\) | ||||
−0.414142 | + | 0.910212i | \(0.635918\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −2.51303 | −0.0819223 | −0.0409611 | − | 0.999161i | \(-0.513042\pi\) | ||||
−0.0409611 | + | 0.999161i | \(0.513042\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −43.2195 | −1.40742 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 14.5307 | 0.472186 | 0.236093 | − | 0.971731i | \(-0.424133\pi\) | ||||
0.236093 | + | 0.971731i | \(0.424133\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.3429 | −0.530514 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 36.5564 | 1.18418 | 0.592089 | − | 0.805873i | \(-0.298303\pi\) | ||||
0.592089 | + | 0.805873i | \(0.298303\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.26605 | − | 14.3172i | 0.267483 | − | 0.463294i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −7.57177 | + | 31.5861i | −0.244505 | + | 1.01997i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.0544 | −0.646917 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.573726 | + | 0.993722i | −0.0184689 | + | 0.0319890i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.06111 | − | 13.9623i | −0.259228 | − | 0.448996i | 0.706807 | − | 0.707406i | \(-0.250135\pi\) |
−0.966035 | + | 0.258410i | \(0.916801\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.60100 | + | 14.8974i | 0.276019 | + | 0.478079i | 0.970392 | − | 0.241537i | \(-0.0776514\pi\) |
−0.694373 | + | 0.719616i | \(0.744318\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.95242 | + | 33.1740i | −0.254943 | + | 1.06351i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −40.2450 | −1.28755 | −0.643776 | − | 0.765214i | \(-0.722633\pi\) | ||||
−0.643776 | + | 0.765214i | \(0.722633\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.443873 | − | 0.768810i | 0.0141862 | − | 0.0245713i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.2760 | − | 17.7985i | −0.327753 | − | 0.567685i | 0.654313 | − | 0.756224i | \(-0.272958\pi\) |
−0.982066 | + | 0.188539i | \(0.939625\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.89065 | − | 13.6670i | 0.251417 | − | 0.435467i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.20330 | + | 9.01237i | 0.165455 | + | 0.286577i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.9872 | − | 25.9586i | 0.476083 | − | 0.824601i | −0.523541 | − | 0.852000i | \(-0.675389\pi\) |
0.999625 | + | 0.0273998i | \(0.00872273\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.36537 | + | 7.56105i | 0.138392 | + | 0.239701i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.01944 | + | 10.4260i | 0.190638 | + | 0.330194i | 0.945462 | − | 0.325733i | \(-0.105611\pi\) |
−0.754824 | + | 0.655927i | \(0.772278\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))